Light from a point source in air falls on a spherical glass surface `mu = 1.5 and R = 20 cm`. The image is formed at a distance of `100 cm` from the glass surface in the direction of incident light. Calculate the object distance from the centre of curvature of the spherical surface.
Text Solution
Verified by Experts
Here, `mu_(1) = 1, mu_(2) = 1.5`, `R = 0.2 m = 20cm, v = 100 cm, u = ?` As refraction occurs from rarer to denser medium, `(mu_(1))/(-u) + (mu_(2))/(v) = (mu_(2) - mu_(1))/(R )` `(1)/(-u) + (1.5)/(100) = (1.5 - 1)/(20) = (1)/(40)` `-(1)/(u) = (1)/(40) - (3)/(200) = (2)/(200) = (1)/(100) = -100 cm` `:.` Distance of object from pole of spherical surface is `100 cm` Distance of object from the centre of spherical surface ` = 100 + 20 = 120 cm`
Topper's Solved these Questions
OPTICS
PRADEEP|Exercise Very short answer question|5 Videos
OPTICS
PRADEEP|Exercise very short answer questions|1 Videos
Light from a point source in air falls on a convex spherical glass surface (mu = 1.5 and R = 20 cm) . Calculate position of the image when the light source is at 1m from the glass surface.
A small LED, emitting light is placed at x distance above a spherical glass of refractive index 1.5 and radius of curvature 30 cm. The image of the LED is formed at a distance of 150 cm away from the surface of sphere along the direction of incident light. Calculate the distance between LED light and the surface of spherical glass.
Locate the image of the point object O . The point C is centre of curvature of the spherical surface.
From a point source a light falls on a spherical glass surface ( mu = 1.5 and radius of curvature = 10 cm ). The distance between point source and glass surface is 50 cm . The position of image is
Light from a point source in air falls on a spherical glass surface. If mu = 1.5 , and radius of curvature = 20 cm , the distance of light source from the glass surface is 100 cm , at what position will the image be formed ? (NCERT Solved Example)
Light from a point source in air falls on a spherical glass surface. If mu = 1.5 , and radius of curvature = 20 cm , the distance of light source from the glass surface is 100 cm , at what position will the image be formed ? (NCERT Solved Example)
An image is formed at a distance of 100 cm from the glass surface with refractive index 1.5, when a point object is placed in the air at a distance of 100 cm from the glass surface. The radius of curvature is of the surface is
A plano-convex lens mu = 1.5 has focal length of 18 cm in air. Calculate the radius of curvature of the spherical surface.
Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40 cm from the surface. The distance of the image from the surface is :
